Elkin, V. I. Isolation of the trivial part of a nonlinear control system by factorization. III. (English. Russian original) Zbl 1443.93038 Differ. Equ. 56, No. 4, 499-503 (2020); translation from Differ. Uravn. 56, No. 4, 511-515 (2020). Summary: The use of special decompositions of nonlinear control systems for simplifying control problems by reducing their dimension is considered.For Part II, see [the author, Differ. Equ. 54, No. 11, 1444–1448 (2018; Zbl 1409.93034); translation from Differ. Uravn. 54, No. 11, 1470–1474 (2018)]. MSC: 93B11 System structure simplification 93C10 Nonlinear systems in control theory Keywords:nonlinear control systems; dimensional reduction Citations:Zbl 1409.93034 PDFBibTeX XMLCite \textit{V. I. Elkin}, Differ. Equ. 56, No. 4, 499--503 (2020; Zbl 1443.93038); translation from Differ. Uravn. 56, No. 4, 511--515 (2020) Full Text: DOI References: [1] Elkin, V. I., Isolation of the Trivial Part of a Nonlinear Control System by Factorization: I, Differ. Equations, 53, 12, 1645-1653 (2017) · Zbl 1383.93020 · doi:10.1134/S0012266117120114 [2] Elkin, V. I., Isolation of the Trivial Part of a Nonlinear Control System by Factorization: II, Differ. Equations, 54, 11, 1444-1448 (2018) · Zbl 1409.93034 · doi:10.1134/S0012266118110058 [3] Zhevnin, A.A., Kolesnikov, K.S., Krishchenko, A.P., and Toloknov, V.I., Synthesis of terminal control algorithms based on notions of reverse dynamics problems: a survey,Izv. Akad. Nauk SSSR. Tekh. Kibern., 1985, no. 4, pp. 180-188. · Zbl 0602.93026 [4] Elkin, V. I., On categories and foundations of the theory of nonlinear control dynamical systems: V, Differ. Equations, 42, 11, 1553-1561 (2006) · Zbl 1131.93032 · doi:10.1134/S001226610611005X [5] Elkin, V.I., Subsystems of control systems and terminal control problem,Avtom. Telemekh., 1995, no. 1, pp. 21-29. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.